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\left(\frac{1}{64}\times 2^{4}\right)^{-2}
Calculate 4 to the power of -3 and get \frac{1}{64}.
\left(\frac{1}{64}\times 16\right)^{-2}
Calculate 2 to the power of 4 and get 16.
\left(\frac{1}{4}\right)^{-2}
Multiply \frac{1}{64} and 16 to get \frac{1}{4}.
16
Calculate \frac{1}{4} to the power of -2 and get 16.